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Finding the Third Proportional to 107,194.50 and 241,701.75

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Solution

The third proportional to 107,194.50 and 241,701.75 is: 544,988.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,194.50 : 241,701.75 = 241,701.75 : x
  2. Step 2: Convert to fraction form
    107,194.50/241,701.75 = 241,701.75/x
  3. Step 3: Cross multiply
    107,194.50x = 241,701.75 × 241,701.75
  4. Step 4: Simplify right side
    107,194.50x = 58,419,735,953.06
  5. Step 5: Solve for x
    x = 58,419,735,953.06/107,194.50
  6. Step 6: Final answer
    x = 544,988.18

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.